Geometry, 1st Edition

  • John Tabak Ph.D.
  • Published By:
  • ISBN-10: 1438135599
  • ISBN-13: 9781438135595
  • DDC: 516.009
  • Grade Level Range: 9th Grade - College Senior
  • 272 Pages | eBook
  • Original Copyright 2011 | Published/Released March 2012
  • This publication's content originally published in print form: 2011

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GEOMETRY, Revised Edition describes geometry in antiquity. Beginning with a brief description of some of the geometry that preceded the geometry of the Greeks, it takes up the story of geometry during the European Renaissance as well as the significant mathematical progress in other areas of the world. It also discusses the analytic geometry of Ren Descartes and Pierre Fermat, the alternative coordinate systems invented by Isaac Newton, and the solid geometry of Leonhard Euler. Also included is an overview of the geometry of one of the most successful mathematicians of the 19th century, Bernhard Riemann, who created both higher dimensional geometry and geometry that is intrinsic to surfaces. The theory of relativity is also examined in great detail in this full-color resource.

Table of Contents

Front Cover.
Half Title Page.
Title Page.
Copyright Page.
1: Geometry in Antiquity.
2: Geometry Before the Greeks.
3: Early Greek Geometry.
4: Major Mathematical Works of Greek Geometry.
5: New Geometries.
6: Mathematics and Art During the Renaissance.
7: The First Theorems.
8: Projective Geometry Rediscovered.
9: A Non-Euclidean Geometry.
10: Coordinate Geometry.
11: The Beginnings of Analytic Geometry.
12: Calculus and Analytic Geometry.
13: Differential Geometry.
14: The Shape of Space and Time.
15: Infinite-Dimensional Geometries.
Further Resources.